Finite Group Databasebeta

← #7720057

Subgroups — #7720057

Order 512.

7087 conjugacy classes of subgroups.

The subgroup lattice has 2008 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#51319C214yesmaximal, complemented
4#51318C214yesmaximal, complemented
5#51061C214yesmaximal, complemented
6#50682C214yesmaximal, complemented
7#45325C212yesmaximal, complemented
8#45319C212yesmaximal, complemented
9#45300C212yesmaximal, complemented
10#45267C212yesmaximal, complemented
11#45245C212yesmaximal, complemented
12#45104C212yesmaximal, complemented
13#44980C212yesmaximal, complemented
14#44884C212yesmaximal, complemented
15#39471C211yesmaximal, characteristic, complemented
16#39469C211yesmaximal, characteristic, complemented
17#39469C212yesmaximal, complemented
18#39462C212yesmaximal, complemented
19#39126C211yesmaximal, characteristic, complemented
20#39124C211yesmaximal, characteristic, complemented
21#38050C212yesmaximal, complemented
22#38042C212yesmaximal, complemented
23#37279C212yesmaximal, complemented
24#37276C212yesmaximal, complemented
25#36544C211yesmaximal, characteristic, complemented
26Q8×#121C211yesmaximal, characteristic, complemented
27#36411C211yesmaximal, characteristic, complemented
28#36259C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35273C211yesmaximal, characteristic, complemented
31#35259C212yesmaximal, complemented
32#35257C212yesmaximal, complemented
33#35200C211yesmaximal, characteristic, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yes—
38#3480—216no—
39C2×#559C2211yescharacteristic
40C2×#559C2212yes—
41C2×#557C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2212yes—
44C2×#555C2211yescharacteristic
45C2×#555C2212yes—
46C2×#554C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2212yes—
50C2×#553C2212yes—
51C2×#553C2211yescharacteristic
52C2×#552C2212yes—
53C2×#550C2211yescharacteristic
54C2×D4×Q8C2211yescharacteristic
55C2×D4×Q8C2212yes—
56C2×#548C2212yes—
57C2×#548C2211yescharacteristic
58C2×#548C2211yescharacteristic
59C2×#547C2211yescharacteristic
60C2×#547C2212yes—
61C2×#544C2212yes—
62C2×#542C2214yes—
63C2×#540C2212yes—
64C2×#537C2212yes—
65C2×#537C2212yes—
66C2×#536C2212yes—
67C2×#533C2211yescharacteristic
68C2×#532C2211yescharacteristic
69C2×#532C2212yes—
70C2×#532C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2212yes—
73C2×#529C2211yescharacteristic
74C2×#529C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2212yes—
79C22×C4×Q8C2211yescharacteristic
80#2857C2212yes—
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2857C2211yescharacteristic
84#2857C2212yes—
85#2857C2211yescharacteristic
86#2856C2212yes—
87#2854C2212yes—
88#2854C2212yes—
89#2851C2212yes—
90#2851C2212yes—
91#2851C2212yes—
92#2727C2214yes—
93#2725C2214yes—
94#2723C2214yes—
95#2719C2214yes—
96#2716C2214yes—
97#2716C2214yes—
98#2714C2214yes—
99#2712C2214yes—
100#2712C2214yes—
101#2712C2214yes—
102#2710C2214yes—
103#2710C2214yes—
104#2708C2214yes—
105#2707C2214yes—
106#2705C2214yes—
107#2703C2214yes—
108#2702C2214yes—
109#2698C2214yes—
110#2696C2214yes—
111#2695C2214yes—
112#2694C2214yes—
113#2691C2214yes—
114#2688C2214yes—
115#2687C2214yes—
116#2682C2214yes—
117#2681C2214yes—
118#2681C2214yes—
119#2681C2214yes—
120#2677C2214yes—
121#2676C2214yes—
122#2676C2214yes—
123#2676C2214yes—
124#2676C2214yes—
125#2675C2214yes—
126#2674C2214yes—
127#2674C2214yes—
128#2673C2214yes—
129#2672C2214yes—
130#2671C2214yes—
131#2671C2214yes—
132#2638C2214yes—
133#2635C2212yes—
134#2635C2212yes—
135#2632C2212yes—
136#2631C2212yes—
137#2629C2212yes—
138#2629C2212yes—
139#2629C2212yes—
140#2628C2211yescharacteristic
141#2628C2211yescharacteristic
142#2628C2212yes—
143#2624C2211yescharacteristic
144#2624C2211yescharacteristic
145#2620C2214yes—
146#2619C2211yescharacteristic
147#2619C2211yescharacteristic
148#2615C2211yescharacteristic
149#2615C2212yes—
150#2615C2211yescharacteristic
151#2615C2212yes—
152#2599C2214yes—
153#2584C2212yes—
154#2582C2212yes—
155#2582C2212yes—
156#2580C2212yes—
157#2567C2211yescharacteristic
158#2563C2211yescharacteristic
159#2563C2212yes—
160#2562C2212yes—
161#2557C2214yes—
162#2547C2211yescharacteristic
163#2546C2211yescharacteristic
164#2546C2212yes—
165#2540C2212yes—
166#2540C2212yes—
167#2538C2211yescharacteristic
168#2538C2212yes—
169#2538C2212yes—
170#2538C2211yescharacteristic
171#2538C2212yes—
172#2538C2212yes—
173#2537C2212yes—
174#2537C2212yes—
175#2537C2211yescharacteristic
176#2537C2211yescharacteristic
177#2536C2212yes—
178#2535C2212yes—
179#2535C2214yes—
180#2535C2212yes—
181#2521C2214yes—
182#2499C2212yes—
183#2492C2212yes—
184#2491C2214yes—
185#2489C2212yes—
186#2487C2212yes—
187#2486C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2479C2214yes—
193#2475C2214yes—
194#2474C2214yes—
195#2465C2214yes—
196#2464C2214yes—
197#2464C2214yes—
198#2464C2214yes—
199#2461C2214yes—
200#2459C2214yes—
201#2458C2214yes—
202#2458C2214yes—
203#2456C2214yes—
204#2456C2214yes—
205#2456C2214yes—
206#2456C2214yes—
207#2456C2214yes—
208#2454C2214yes—
209#2453C2214yes—
210#2452C2214yes—
211#2451C2214yes—
212#2450C2214yes—
213#2450C2214yes—
214#2449C2214yes—
215#2449C2214yes—
216#2449C2214yes—
217#2449C2214yes—
218#2442C2212yes—
219#2439C2212yes—
220#2439C2214yes—
221#2436C2212yes—
222#2432C2212yes—
223#2431C2212yes—
224#2429C2212yes—
225#2429C2214yes—
226#2429C2212yes—
227#2428C2212yes—
228#2428C2214yes—
229#2426C2212yes—
230#2425C2214yes—
231#2425C2214yes—
232#2425C2214yes—
233#2423C2212yes—
234#2422C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2214yes—
240#2417C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2214yes—
246#2416C2212yes—
247#2416C2214yes—
248#2415C2212yes—
249#2414C2212yes—
250#2414C2214yes—
251#2414C2212yes—
252#2414C2212yes—
253#2413C2214yes—
254#2409C2212yes—
255#2409C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2398C2212yes—
259#2397C2212yes—
260#2388C2212yes—
261#2388C2212yes—
262#2383C2214yes—
263#2362C2212yes—
264#2361C2212yes—
265#2360C2212yes—
266#2360C2212yes—
267#2355C2211yescharacteristic
268#2354C2212yes—
269#2354C2211yescharacteristic
270#2352C2212yes—
271Q8×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2211yescharacteristic
274D4×C4⋊C4C2212yes—
275Q8×C22⋊C4C2212yes—
276#2339C2212yes—
277#2330C2212yes—
278#2327C2212yes—
279#2326C2212yes—
280#2326C2212yes—
281#2324C2212yes—
282#2324C2212yes—
283#2322C2214yes—
284#2317C2212yes—
285#2316C2212yes—
286#2314C2212yes—
287#2311C2212yes—
288#2311C2212yes—
289#2311C2212yes—
290#2311C2212yes—
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294C4×#121C2211yescharacteristic
295C4×#121C2211yescharacteristic
296C4×#121C2211yescharacteristic
297#2296C2212yes—
298C2×#389C2212yes—
299C2×#384C2211yescharacteristic
300#2283C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2312yes—
309#562—232no—
310#559—28no—
311#559—216no—
312#557—28no—
313#556—216no—
314#556—28no—
315#555—216no—
316#555—28no—
317#554—28no—
318#553—216no—
319#553—28no—
320#553—216no—
321#553—28no—
322#553—216no—
323#552—216no—
324#550—28no—
325D4×Q8—28no—
326D4×Q8—48no—
327#548—28no—
328#548—216no—
329#548—28no—
330#547—28no—
331#547—48no—
332#544—216no—
333#542—232no—
334#540—216no—
335#537—216no—
336#537—48no—
337#536—216no—
338#533—28no—
339#532—216no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2314yes—
351C2×#127C2311yescharacteristic
352C2×#127C2312yes—
353C2×#127C2311yescharacteristic
354#529—28no—
355#529—216no—
356#529—216no—
357#529D4116yescomplemented
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#125C2314yes—
371C2×#125C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2311yescharacteristic
455C4×#41—28no—
456C4×#41—216no—
457C4×#41—28no—
458C4×#41—28no—
459C2×C4×Q8—28no—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2314yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2311yescharacteristic
512C2×#117C2311yescharacteristic
513C2×#117C2312yes—
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2312yes—
523C2×#117C2314yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2314yes—
534C22×C4⋊C4C2312yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2314yes—
542#400C2312yes—
543#400C2312yes—
544#400C2314yes—
545#400C2314yes—
546#399C2314yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2314yes—
552#399C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#397C2314yes—
565#397C2312yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2312yes—
590#395C2312yes—
591#395C2314yes—
592#394C2314yes—
593#394C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#393C2314yes—
616#393C2314yes—
617#393C2314yes—
618#393C2314yes—
619#393C2312yes—
620#393C2312yes—
621#393C2314yes—
622#393C2314yes—
623#393C2312yes—
624#393C2312yes—
625#393C2314yes—
626#392C2312yes—
627#392C2312yes—
628#392C2312yes—
629#392C2312yes—
630#392C2312yes—
631#392C2312yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#391C2314yes—
646#391C2314yes—
647#391C2314yes—
648#391C2314yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2314yes—
658#391C2314yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2311yescharacteristic
666#390C2311yescharacteristic
667#390C2314yes—
668#390C2314yes—
669#390C2311yescharacteristic
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2314yes—
674#390C2314yes—
675#390C2311yescharacteristic
676#390C2314yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2314yes—
695#389C2314yes—
696#389C2312yes—
697#389C2314yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2314yes—
704#389C2311yescharacteristic
705#389C2311yescharacteristic
706#389C2311yescharacteristic
707#389C2314yes—
708#389C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#384C2312yes—
790#384C2312yes—
791#384C2312yes—
792#384C2312yes—
793#384C2312yes—
794#384C2311yescharacteristic
795#384C2311yescharacteristic
796#383C2312yes—
797#382C2312yes—
798#382C2314yes—
799#382C2311yescharacteristic
800#382C2311yescharacteristic
801#382C2312yes—
802#381C2312yes—
803#381C2314yes—
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2311yescharacteristic
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2311yescharacteristic
814#380C2312yes—
815#380C2311yescharacteristic
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2314yes—
826#380C2314yes—
827#380C2312yes—
828#380C2312yes—
829#380C2314yes—
830#380C2314yes—
831#380C2312yes—
832#380C2312yes—
833#380C2311yescharacteristic
834#380C2311yescharacteristic
835#380C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852#376C2312yes—
853C2×#95C2314yes—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—42no—
865C2×#41—44no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—44no—
871C2×#41—44no—
872C22×Q8—24no—
873C22×Q8—24no—
874C22×Q8—28no—
875C22×Q8—42no—
876C22×Q8—44no—
877C22×Q8—44no—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2411yescharacteristic
883C22×Q8C2411yescharacteristic
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×Q8C2414yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2411yescharacteristic
938C4⋊Q8—28no—
939C4⋊Q8—28no—
940C4⋊Q8—24no—
941C4⋊Q8—216no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—28no—
946C4⋊Q8—48no—
947#127—28no—
948#127—24no—
949#127—24no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—216no—
954#126—28no—
955#126—28no—
956#126C2×D4116yes—
957#125—28no—
958#125—28no—
959#125—24no—
960#125—216no—
961#125—28no—
962#125—28no—
963#125C2×D418yes—
964#124—24no—
965#124—28no—
966#124—28no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—216no—
971#124—216no—
972#124—216no—
973#124—28no—
974#124—44no—
975#124C2×D418yes—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—216no—
980#123—216no—
981#123—28no—
982#123—28no—
983#123—216no—
984#123—216no—
985#123—48no—
986#123—48no—
987#123—84no—
988#123C2×D4116yes—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—28no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—48no—
1004C22⋊Q8—48no—
1005C22⋊Q8—48no—
1006C22⋊Q8—44no—
1007C22⋊Q8—44no—
1008C22⋊Q8—82no—
1009C22⋊Q8—82no—
1010C22⋊Q8C2×D418yes—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—24no—
1018#121—24no—
1019#121—28no—
1020#121—28no—
1021#121—28no—
1022#121—24no—
1023#121—24no—
1024#121—24no—
1025#121—24no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—216no—
1032#121—216no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#121—48no—
1037#121—42no—
1038#121—44no—
1039#121—44no—
1040#121—42no—
1041#121—44no—
1042#121—44no—
1043#121—84no—
1044#121—84no—
1045#121—84no—
1046#121C2×D418yes—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—28no—
1050C4×Q8—24no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—24no—
1054C4×Q8—28no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—44no—
1061C4×Q8C2×D418yes—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—44no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—48no—
1095C4×D4—84no—
1096C4×D4—84no—
1097C4×D4C2×D418yes—
1098C4×D4C2×D4116yes—
1099#117—24no—
1100#117—24no—
1101#117—28no—
1102#117—28no—
1103#117—24no—
1104#117—28no—
1105#117—216no—
1106#117—28no—
1107#117—24no—
1108#117—28no—
1109#117—24no—
1110#117—28no—
1111#117—44no—
1112#117C2×D4116yes—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—44no—
1118C2×C4⋊C4—44no—
1119C2×C4⋊C4—44no—
1120C2×C4⋊C4—48no—
1121C2×C4⋊C4—82no—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C42—28no—
1259C2×C42—28no—
1260C2×C42—24no—
1261C2×C42—24no—
1262C2×C42—28no—
1263C2×C42C2×D418yes—
1264C2×C42C2411yescharacteristic
1265C2×C42C2414yes—
1266C2×C42C2411yescharacteristic
1267C2×C42C2414yes—
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24C2512yes—
1332C24C2512yes—
1333C24C2511yescharacteristic
1334C24C2512yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337C24C2511yescharacteristic
1338#41—416no—
1339#41—432no—
1340#41—416no—
1341#41—416no—
1342#41—816no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—28no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—42no—
1361C2×Q8—42no—
1362C2×Q8—41no—
1363C2×Q8—42no—
1364C2×Q8—44no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—416no—
1370C2×Q8—816no—
1371C2×Q8C22×D414yes—
1372C2×Q8H(5,𝔽2)14yes—
1373C2×D4—22no—
1374C2×D4—24no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—24no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—24no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—24no—
1394C2×D4—22no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—41no—
1418C2×D4—42no—
1419C2×D4—41no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—41no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4C22×D414yes—
1453C2×D4C22×D418yes—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—22no—
1459C22×C4—24no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—24no—
1492C22×C4—28no—
1493C22×C4—28no—
1494C22×C4—41no—
1495C22×C4—41no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4—42no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—42no—
1510C22×C4—44no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—42no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—44no—
1521C22×C4C22×D418yes—
1522C22×C4C22×D414yes—
1523C22×C4C22×D414yes—
1524C22×C4C22×D414yes—
1525C22×C42−1+414yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2514yes—
1536C22×C4C2514yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2514yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—28no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—24no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—28no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—28no—
1588C4⋊C4—28no—
1589C4⋊C4—28no—
1590C4⋊C4—28no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—42no—
1607C4⋊C4—42no—
1608C4⋊C4—42no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C22×D418yes—
1617C4⋊C4C22×D414yes—
1618C4⋊C4C22×D418yes—
1619C4⋊C4C22×D418yes—
1620C4⋊C4C22×D418yes—
1621C22⋊C4—22no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—28no—
1626C22⋊C4—28no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—22no—
1631C22⋊C4—24no—
1632C22⋊C4—22no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—22no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—24no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—42no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4C22×D418yes—
1686C22⋊C4C22×D418yes—
1687C22⋊C4C22×D418yes—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C42—22no—
1691C42—24no—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—24no—
1696C42—24no—
1697C42—24no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—24no—
1702C42—22no—
1703C42—28no—
1704C42—28no—
1705C42—24no—
1706C42—24no—
1707C42—44no—
1708C42—44no—
1709C42—44no—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C22×D418yes—
1713C42C22×D414yes—
1714C42C22×D414yes—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—21no—
1721C23—22no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—22no—
1727C23—21no—
1728C23—21no—
1729C23—22no—
1730C23—21no—
1731C23—21no—
1732C23—22no—
1733C23—22no—
1734C23—21no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—21no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—21no—
1749C23—22no—
1750C23—22no—
1751C23—21no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—21no—
1760C23—22no—
1761C23C23×D412yes—
1762C23C23×D414yes—
1763C23C2×2−1+412yes—
1764C23C2611yescharacteristic
1765Q8—28no—
1766Q8—28no—
1767Q8—48no—
1768Q8—48no—
1769Q8—44no—
1770Q8—48no—
1771Q8—84no—
1772Q8—88no—
1773Q8—84no—
1774D4—28no—
1775D4—48no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—44no—
1780D4—48no—
1781D4—44no—
1782D4—48no—
1783D4—44no—
1784D4—48no—
1785D4—48no—
1786D4—44no—
1787D4—44no—
1788D4—44no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—84no—
1793D4—88no—
1794D4—84no—
1795D4—84no—
1796D4—88no—
1797D4—84no—
1798D4—84no—
1799D4—164no—
1800D4—164no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—28no—
1820C2×C4—28no—
1821C2×C4—216no—
1822C2×C4—28no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—24no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—24no—
1873C2×C4—22no—
1874C2×C4—44no—
1875C2×C4—48no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—44no—
1879C2×C4—48no—
1880C2×C4—44no—
1881C2×C4—48no—
1882C2×C4—44no—
1883C2×C4—48no—
1884C2×C4—84no—
1885C2×C4—82no—
1886C2×C4—82no—
1887C2×C4—84no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—84no—
1891C2×C4—88no—
1892C2×C4—88no—
1893C2×C4—164no—
1894C2×C4C23×D412yes—
1895C2×C4C23×D414yes—
1896C2×C4C23×D412yes—
1897C2×C4C23×D412yes—
1898C2×C4C23×D412yes—
1899C2×C4C23×D414yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C2×H(5,𝔽2)14yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×2−1+412yes—
1906C2×C4C2×2−1+412yes—
1907C2×C4#58512yes—
1908C2×C4#58512yes—
1909C22—22no—
1910C22—24no—
1911C22—22no—
1912C22—24no—
1913C22—22no—
1914C22—22no—
1915C22—24no—
1916C22—22no—
1917C22—22no—
1918C22—41no—
1919C22—41no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—42no—
1927C22—41no—
1928C22—42no—
1929C22—41no—
1930C22—42no—
1931C22—42no—
1932C22—41no—
1933C22—42no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—41no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—41no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—41no—
1954C22—41no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22C24×D411yescharacteristic
1959C22C22×H(5,𝔽2)11yescharacteristic
1960C22C22×2−1+411yescharacteristic
1961C22C2×#58511yescharacteristic
1962C22C2×#58511yescharacteristic
1963C22H(7,𝔽2)11yescharacteristic
1964C222−1+611yescharacteristic
1965C4—22no—
1966C4—24no—
1967C4—24no—
1968C4—24no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—22no—
1973C4—24no—
1974C4—41no—
1975C4—42no—
1976C4—42no—
1977C4—41no—
1978C4—44no—
1979C4—41no—
1980C4—42no—
1981C4—42no—
1982C4—41no—
1983C4—41no—
1984C4—44no—
1985C4—42no—
1986C4—42no—
1987C4—44no—
1988C4—44no—
1989C4—42no—
1990C4—42no—
1991C4#348814yes—
1992C4#348914yes—
1993C2—42no—
1994C2—44no—
1995C2—42no—
1996C2—82no—
1997C2—81no—
1998C2—82no—
1999C2—82no—
2000C2C2×#348811yescharacteristic
2001C2C2×#348911yescharacteristic
2002C2#6285311yescharacteristic
2003C2#6291311yescharacteristic
2004C2#6292311yescharacteristic
2005C2#6292611yescharacteristic
2006C2#6293911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3547C2semidirect
2. C2×#3480C2semidirect
3. #51319C2semidirect
4. #51318C2semidirect
5. #51061C2semidirect
6. #50682C2semidirect
7. #45325C2semidirect
8. #45319C2semidirect
9. #45300C2semidirect
10. #45267C2semidirect
11. #45245C2semidirect
12. #45104C2semidirect
13. #44980C2semidirect
14. #44884C2semidirect
15. #39471C2semidirect
16. #39469C2semidirect
17. #39469C2semidirect
18. #39462C2semidirect
19. #39126C2semidirect
20. #39124C2semidirect
21. #38050C2semidirect
22. #38042C2semidirect
23. #37279C2semidirect
24. #37276C2semidirect
25. #36544C2semidirect
26. Q8×#121C2semidirect
27. #36411C2semidirect
28. #36259C2semidirect
29. #35280C2semidirect
30. #35273C2semidirect
31. #35259C2semidirect
32. #35257C2semidirect
33. #35200C2semidirect
34. #34609C2semidirect
35. #34384C2semidirect
357. #529D4semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#35472
C2×#34802
#513192
#513182
#510612
#506822
#453252
#453192
#453002
#452672
#452452
#451042
#449802
#448842
#394712
#394692
#394622
#391262
#391242
#380502
#380422
#372792
#372762
#365442
Q8×#1212
#364112
#362592
#352802
#352732
#352592
#352572
#352002
#346092
#343842